YES

2 decompositions
 #0 -----------
   7: and(x,T()) -> x
   8: and(x,F()) -> F()
   9: and(x,y) -> and(y,x)
  10: and(and(x,y),z) -> and(x,and(y,z))

 #1 -----------
   1: not(T()) -> F()
   2: not(F()) -> T()
   3: or(x,T()) -> T()
   4: or(x,F()) -> x
   5: or(x,y) -> or(y,x)
   6: or(or(x,y),z) -> or(x,or(y,z))
  11: imply(x,y) -> or(not(x),y)

@Jouannaud and Kirchner's criterion
--- R
   7: and(x,T()) -> x
   8: and(x,F()) -> F()
   9: and(x,y) -> and(y,x)
  10: and(and(x,y),z) -> and(x,and(y,z))

--- S
   7: and(x,T()) -> x
   8: and(x,F()) -> F()
   9: and(x,y) -> and(y,x)
  10: and(and(x,y),z) -> and(x,and(y,z))


@Jouannaud and Kirchner's criterion
--- R
   1: not(T()) -> F()
   2: not(F()) -> T()
   3: or(x,T()) -> T()
   4: or(x,F()) -> x
   5: or(x,y) -> or(y,x)
   6: or(or(x,y),z) -> or(x,or(y,z))
  11: imply(x,y) -> or(not(x),y)

--- S
   1: not(T()) -> F()
   2: not(F()) -> T()
   3: or(x,T()) -> T()
   4: or(x,F()) -> x
   5: or(x,y) -> or(y,x)
   6: or(or(x,y),z) -> or(x,or(y,z))
  11: imply(x,y) -> or(not(x),y)